5x(x+2x)+2=12

Solution for 5x(x+2x)+2=12 equation:

Simplifying
5x(x + 2x) + 2 = 12

Combine like terms: x + 2x = 3x
5x(3x) + 2 = 12

Remove parenthesis around (3x)
5x * 3x + 2 = 12

Reorder the terms for easier multiplication:
5 * 3x * x + 2 = 12

Multiply 5 * 3
15x * x + 2 = 12

Multiply x * x
15x2 + 2 = 12

Reorder the terms:
2 + 15x2 = 12

Solving
2 + 15x2 = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 15x2 = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 15x2 = 12 + -2
15x2 = 12 + -2

Combine like terms: 12 + -2 = 10
15x2 = 10

Divide each side by '15'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}